Exact solutions of a linear fractional partial differential equation via characteristics method

‎In recent years‎, ‎many methods have been studied for solving differential equations of fractional order‎, ‎such as Lie group method, ‎invariant subspace method and numerical methods‎, ‎\cite{۶,۵,۷,۸}‎. Among this‎, ‎the method of characteristics is an efficient and practical method for solving linear fractional differential equations (FDEs) of multi-order‎. In this paper we apply this method for solving a family of linear (۲+۱)-dimensional FDE of multi order ‎‎‎\alpha,\beta and ‎‎\gamma‎‎‎.

کلیدواژه ها:

‎Fractional derivatives ، Mittag-Leffler function ، Characteristics method ‎